The self-linking number of a closed curve in R^n

Details The self-linking number of a closed curve in R^n The self-linking number of a closed curve in R^n

1999-06-02

arxiv.org/abs/math/9906015v1

Mathematics

Differential Geometry

13 pages; 2 figures; AMS-LaTeX

Scientific paper

We introduce the self-linking number of a smooth closed curve in R^n with respect to a 3-dimensional vector bundle over the curve, provided that some regularity conditions are satisfied. When n=3, this construction gives the classical self-linking number of a closed embedded curve with non-vanishing curvature. We also look at some interesting particular cases, which correspond to the osculating or the orthogonal vector bundle of the curve.

Affiliated with

Also associated with

No associations

Rating

The self-linking number of a closed curve in R^n does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The self-linking number of a closed curve in R^n, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The self-linking number of a closed curve in R^n will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-561197